Abstract
The paper proposes an analysis of shimmy oscillations in one of the most used aircraft in general aviation. The main goal of the research is to develop a mathematical model with three degrees of freedom created in a Matlab environment on a Cessna Citation M2. The parameters of the model are obtained from Cessna Textron Aviation, Goodyear Aviation tires and scientific studies. Present research focuses on three main areas: 1) mathematical model, 2) numerical application and results, and 3) discussion and conclusion. The results obtained are presented graphically to facilitate the study of landing gear shimmy oscillations. The effects observed present the subject of discussions in the paper. The model makes the optimisation of the amplitude and time of shimmy oscillation possible.
Highlights
Aircraft landing gears may experience self-excited oscillation in lateral and torsional direction, known as shimmy oscillations, caused by the interaction between the tyres and the ground
Shimmy oscillations appear in aircraft ground dynamics during taxing, take-off and landing
One of earliest contribution to shimmy dynamics was reported by Broulhiet in 1925 [4]
Summary
Aircraft landing gears may experience self-excited oscillation in lateral and torsional direction, known as shimmy oscillations, caused by the interaction between the tyres and the ground. Woerner and Noel [7] explain the main cause of shimmy oscillations is the energy transfer from the contact force between the tyres and the ground to the vibrational modes of the landing gear system. This stability depends on the damping and stiffness characteristics of tyres and the supporting structure. Shimmy oscillations are a problem in the design and operation of aircraft landing gears, especially in general aviation aircraft This aircraft can be used as a business jet or aircraft for special missions such as aerial survey, air ambulance, flight inspection and surveillance. The paper proposes a mathematical model on a Cessna Citation M2 with three degrees of freedom created in a Matlab environment
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